Upper and lower solutions method and a fractional differential equation boundary value problem

Upper and lower solutions method and a fractional differential equation boundary value problem

The method of lower and upper solutions for fractional differential equationDu(t)+ g(t, u(t)) = 0, t ∈ (0, 1), 1 < δ ≤ 2, with Dirichlet boundary condition u(0) = a, u(1) = b is used to give sufficient conditions for the existence of at least one solution.

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

Triple Positive Solutions for Boundary Value Problem of a Nonlinear Fractional Differential Equation

existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

this paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. we show that it has at least one or two positive solutions. the main tool is krasnosel'skii fixed point theorem on cone and fixed point index theory.

triple positive solutions for boundary value problem of a nonlinear fractional differential equation